{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "53ed2c25-dc6a-4c54-8031-9d368e4603d9",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "954af30f-2dad-42ab-bb58-4c987919c442",
   "metadata": {},
   "outputs": [],
   "source": [
    "usa_city_population = pd.DataFrame({\n",
    "    'population': [8398748, 3990456, 2705994, 2325502, 1660272],\n",
    "}, index = ['New York City', 'Los Angeles', 'Chicago', 'Houston', 'Phoenix'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "c961df61-87aa-4389-a269-65d1ddfc503e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>population</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>New York City</th>\n",
       "      <td>8398748</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Los Angeles</th>\n",
       "      <td>3990456</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Chicago</th>\n",
       "      <td>2705994</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Houston</th>\n",
       "      <td>2325502</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Phoenix</th>\n",
       "      <td>1660272</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               population\n",
       "New York City     8398748\n",
       "Los Angeles       3990456\n",
       "Chicago           2705994\n",
       "Houston           2325502\n",
       "Phoenix           1660272"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "usa_city_population"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "6f9ad117-3949-42fd-a68d-5e18621099c9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "axs = usa_city_population.plot.pie(y='population')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "917bc1d5-130a-43a7-8e6a-d38a339be477",
   "metadata": {},
   "outputs": [],
   "source": [
    "china_city_population = pd.DataFrame({\n",
    "    'population': [26917322, 20381745, 15773658, 13552359, 13238590],\n",
    "}, index = ['Shanghai', 'Beijing', 'Chongqing', 'Tianjin', 'Guangzhou'])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "f4cb30fa-0cfa-4bba-9ef7-13a1247ba699",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>population</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Shanghai</th>\n",
       "      <td>26917322</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Beijing</th>\n",
       "      <td>20381745</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Chongqing</th>\n",
       "      <td>15773658</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Tianjin</th>\n",
       "      <td>13552359</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Guangzhou</th>\n",
       "      <td>13238590</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           population\n",
       "Shanghai     26917322\n",
       "Beijing      20381745\n",
       "Chongqing    15773658\n",
       "Tianjin      13552359\n",
       "Guangzhou    13238590"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "china_city_population"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "84cbe895-3a75-45c7-bcb7-ceedcc4651c5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "axs = china_city_population.plot.pie(y='population', figsize=(5, 5))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "a491d62f-0f76-4ae4-85d2-78cafb90c92c",
   "metadata": {},
   "outputs": [],
   "source": [
    "top_city_population = pd.DataFrame({\n",
    "    'usa': usa_city_population['population'].values,\n",
    "    'china': china_city_population['population'].values\n",
    "}, index = ['top1', 'top2', 'top3', 'top4', 'top5'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "399fb4f6-c63b-4fa8-9abd-2bee1b8b66de",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>usa</th>\n",
       "      <th>china</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>top1</th>\n",
       "      <td>8398748</td>\n",
       "      <td>26917322</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>top2</th>\n",
       "      <td>3990456</td>\n",
       "      <td>20381745</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>top3</th>\n",
       "      <td>2705994</td>\n",
       "      <td>15773658</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>top4</th>\n",
       "      <td>2325502</td>\n",
       "      <td>13552359</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>top5</th>\n",
       "      <td>1660272</td>\n",
       "      <td>13238590</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          usa     china\n",
       "top1  8398748  26917322\n",
       "top2  3990456  20381745\n",
       "top3  2705994  15773658\n",
       "top4  2325502  13552359\n",
       "top5  1660272  13238590"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "top_city_population"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "c16d4f7b-c03e-4ef9-b7b8-44c3b98001ca",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "axs = top_city_population.plot.bar()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "eefb6eb5-d38e-4044-92b9-04eb78744c1b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f8989fa9450>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "top_city_population.reset_index().plot.bar(x = 'index', y = 'usa', rot = 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "563b7c53-ba68-4ca9-bcad-0b65db02f7a8",
   "metadata": {},
   "outputs": [],
   "source": [
    "data = pd.Series(np.random.randn(1000), index = np.arange(1000)) # 生成一组符合标准正态分布的随机样本值。\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "9ebebf3d-1ba9-4243-b86f-96d67c40a081",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0      0.154322\n",
       "1     -0.594009\n",
       "2     -0.393949\n",
       "3     -1.250936\n",
       "4     -0.244541\n",
       "         ...   \n",
       "995   -9.624209\n",
       "996   -8.380317\n",
       "997   -8.797062\n",
       "998   -8.896948\n",
       "999   -7.630660\n",
       "Length: 1000, dtype: float64"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = data.cumsum() # 将数据进行累加\n",
    "data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "e24ffe86-4118-4804-b3db-d961b365918c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "axs = data.plot()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "69fcc0b4-144e-4c90-bdf1-db0803ed402c",
   "metadata": {},
   "outputs": [],
   "source": [
    "data = pd.DataFrame(np.random.randn(1000, 4), index = np.arange(1000), columns = [\"A\", \"B\", \"C\", \"D\"])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "c356e0d2-1dcc-4ccd-b0d2-c890183bea27",
   "metadata": {},
   "outputs": [],
   "source": [
    "data = data.cumsum()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "61e05043-f7bf-4e82-a4ef-e5e0a7b32a32",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f898a100f90>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data.plot()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "2472c69a-ceb4-4ed3-b9aa-924bcd25e441",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>A</th>\n",
       "      <th>B</th>\n",
       "      <th>C</th>\n",
       "      <th>D</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1.065780</td>\n",
       "      <td>-0.766344</td>\n",
       "      <td>-1.262208</td>\n",
       "      <td>-1.280894</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1.897961</td>\n",
       "      <td>-0.493297</td>\n",
       "      <td>0.364523</td>\n",
       "      <td>-1.128234</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3.623456</td>\n",
       "      <td>-0.294346</td>\n",
       "      <td>-0.253449</td>\n",
       "      <td>-1.203613</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4.377138</td>\n",
       "      <td>0.702968</td>\n",
       "      <td>-0.936268</td>\n",
       "      <td>0.030273</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4.922960</td>\n",
       "      <td>1.271408</td>\n",
       "      <td>0.598534</td>\n",
       "      <td>0.164511</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>995</th>\n",
       "      <td>21.899414</td>\n",
       "      <td>-28.949086</td>\n",
       "      <td>33.540289</td>\n",
       "      <td>4.874976</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>996</th>\n",
       "      <td>21.048667</td>\n",
       "      <td>-29.187309</td>\n",
       "      <td>34.722298</td>\n",
       "      <td>6.471393</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>997</th>\n",
       "      <td>21.866788</td>\n",
       "      <td>-29.591485</td>\n",
       "      <td>35.305156</td>\n",
       "      <td>8.421248</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>998</th>\n",
       "      <td>22.520148</td>\n",
       "      <td>-30.279679</td>\n",
       "      <td>35.361694</td>\n",
       "      <td>9.906379</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>999</th>\n",
       "      <td>21.423624</td>\n",
       "      <td>-29.101207</td>\n",
       "      <td>35.512363</td>\n",
       "      <td>10.215776</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>1000 rows × 4 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "             A          B          C          D\n",
       "0     1.065780  -0.766344  -1.262208  -1.280894\n",
       "1     1.897961  -0.493297   0.364523  -1.128234\n",
       "2     3.623456  -0.294346  -0.253449  -1.203613\n",
       "3     4.377138   0.702968  -0.936268   0.030273\n",
       "4     4.922960   1.271408   0.598534   0.164511\n",
       "..         ...        ...        ...        ...\n",
       "995  21.899414 -28.949086  33.540289   4.874976\n",
       "996  21.048667 -29.187309  34.722298   6.471393\n",
       "997  21.866788 -29.591485  35.305156   8.421248\n",
       "998  22.520148 -30.279679  35.361694   9.906379\n",
       "999  21.423624 -29.101207  35.512363  10.215776\n",
       "\n",
       "[1000 rows x 4 columns]"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "b1766132-be69-4270-b7a4-3e91dcb06521",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f898a319a50>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data.plot.scatter(x = 'A', y = 'B', color='Green', label='Class 1')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "3740d5c6-cad0-4d0f-b8be-570d267f6e84",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f898a406210>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data.plot.scatter(x = 'A', y = 'C', color='Red', label='Class 2')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "56c091f7-ebac-457b-867d-8cc5ec5734fe",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f898a4cb090>"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax1 = data.plot.scatter(x = 'A', y = 'B', color='Green', label='Class 1')\n",
    "data.plot.scatter(x = 'A', y = 'C', color='Red', label='Class 2', ax = ax1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "e88a2837-ee61-4f18-9736-2f2ec8492761",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f898a4cf7d0>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data.plot.box()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "32c0f48e-fc9e-4e25-8c44-d9d5173a4268",
   "metadata": {},
   "outputs": [],
   "source": [
    "data = np.abs(data)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "28c8501c-9923-49c9-b258-5e1430ec2aa1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>A</th>\n",
       "      <th>B</th>\n",
       "      <th>C</th>\n",
       "      <th>D</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1.065780</td>\n",
       "      <td>0.766344</td>\n",
       "      <td>1.262208</td>\n",
       "      <td>1.280894</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1.897961</td>\n",
       "      <td>0.493297</td>\n",
       "      <td>0.364523</td>\n",
       "      <td>1.128234</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3.623456</td>\n",
       "      <td>0.294346</td>\n",
       "      <td>0.253449</td>\n",
       "      <td>1.203613</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4.377138</td>\n",
       "      <td>0.702968</td>\n",
       "      <td>0.936268</td>\n",
       "      <td>0.030273</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4.922960</td>\n",
       "      <td>1.271408</td>\n",
       "      <td>0.598534</td>\n",
       "      <td>0.164511</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>995</th>\n",
       "      <td>21.899414</td>\n",
       "      <td>28.949086</td>\n",
       "      <td>33.540289</td>\n",
       "      <td>4.874976</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>996</th>\n",
       "      <td>21.048667</td>\n",
       "      <td>29.187309</td>\n",
       "      <td>34.722298</td>\n",
       "      <td>6.471393</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>997</th>\n",
       "      <td>21.866788</td>\n",
       "      <td>29.591485</td>\n",
       "      <td>35.305156</td>\n",
       "      <td>8.421248</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>998</th>\n",
       "      <td>22.520148</td>\n",
       "      <td>30.279679</td>\n",
       "      <td>35.361694</td>\n",
       "      <td>9.906379</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>999</th>\n",
       "      <td>21.423624</td>\n",
       "      <td>29.101207</td>\n",
       "      <td>35.512363</td>\n",
       "      <td>10.215776</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>1000 rows × 4 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "             A          B          C          D\n",
       "0     1.065780   0.766344   1.262208   1.280894\n",
       "1     1.897961   0.493297   0.364523   1.128234\n",
       "2     3.623456   0.294346   0.253449   1.203613\n",
       "3     4.377138   0.702968   0.936268   0.030273\n",
       "4     4.922960   1.271408   0.598534   0.164511\n",
       "..         ...        ...        ...        ...\n",
       "995  21.899414  28.949086  33.540289   4.874976\n",
       "996  21.048667  29.187309  34.722298   6.471393\n",
       "997  21.866788  29.591485  35.305156   8.421248\n",
       "998  22.520148  30.279679  35.361694   9.906379\n",
       "999  21.423624  29.101207  35.512363  10.215776\n",
       "\n",
       "[1000 rows x 4 columns]"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "0a3fceeb-5c72-471c-b1d0-7fdbeb9e9675",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "axs = data.plot.area(figsize=(12, 4), subplots = False)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b49a0bce-e18b-4b85-925b-3372d596a1a7",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
